Search a number
-
+
12531410112 = 2631316633019
BaseRepresentation
bin10111010101110111…
…00010010011000000
31012100100001120222110
423222323202103000
5201131020110422
65431251335320
7622353141234
oct135273422300
935310046873
1012531410112
115350721991
1225188b1540
131249296690
1486c42c5c4
154d524060c
hex2eaee24c0

12531410112 has 112 divisors (see below), whose sum is σ = 35739791360. Its totient is φ = 3852223488.

The previous prime is 12531410077. The next prime is 12531410113. The reversal of 12531410112 is 21101413521.

It is not an unprimeable number, because it can be changed into a prime (12531410113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4149339 + ... + 4152357.

It is an arithmetic number, because the mean of its divisors is an integer number (319105280).

Almost surely, 212531410112 is an apocalyptic number.

12531410112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12531410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17869895680).

12531410112 is an abundant number, since it is smaller than the sum of its proper divisors (23208381248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12531410112 is a wasteful number, since it uses less digits than its factorization.

12531410112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4710 (or 4700 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 12531410112 its reverse (21101413521), we get a palindrome (33632823633).

The spelling of 12531410112 in words is "twelve billion, five hundred thirty-one million, four hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 1663 2496 3019 3326 4989 6038 6652 9057 9978 12076 13304 18114 19956 21619 24152 26608 36228 39247 39912 43238 48304 53216 64857 72456 78494 79824 86476 96608 106432 117741 129714 144912 156988 159648 172952 193216 235482 259428 289824 313976 319296 345904 470964 518856 579648 627952 691808 941928 1037712 1255904 1383616 1883856 2075424 2511808 3767712 4150848 5020597 7535424 10041194 15061791 20082388 30123582 40164776 60247164 65267761 80329552 120494328 130535522 160659104 195803283 240988656 261071044 321318208 391606566 481977312 522142088 783213132 963954624 1044284176 1566426264 2088568352 3132852528 4177136704 6265705056 12531410112